Download Solving Polynomial Equation Systems I: The Kronecker-Duval by Teo Mora PDF

By Teo Mora

With the arrival of desktops, theoretical experiences and answer equipment for polynomial equations have replaced dramatically. Many classical effects could be extra usefully recast inside of a distinct framework which in flip lends itself to extra theoretical improvement tuned to computation. this primary publication in a trilogy is dedicated to the hot process. it's a instruction manual masking the classical thought of discovering roots of a univariate polynomial, emphasizing computational facets, in particular the illustration and manipulation of algebraic numbers, enlarged by way of newer representations just like the Duval version and the Thom Codification. Mora goals to teach that fixing a polynomial equation fairly capacity discovering algorithms that aid one control roots instead of easily computing them; therefore he additionally surveys algorithms for factorizing univariate polynomials.

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